defence exam Indian Coast Guard Assistant Commandant (GD/CPL) 2025 Test Series Quantitative Aptitude Simplification Fractions
Express the following expression in terms of partial fraction: \(\dfrac {1}{(x^{2} + 4)(x^{2} + 9)}\)
1
\(\dfrac {1}{5} \left (\dfrac {1}{x^{2} + 9} - \dfrac {1}{x^{2} + 4}\right )\)
2
\(\dfrac {1}{5} \left (\dfrac {1}{x^{2} + 4} - \dfrac {1}{x^{2} + 9}\right)\)
3
\(\dfrac {1}{x^{2} + 4} - \dfrac {1}{x^{2} + 9}\)
4
\(\dfrac {1}{x^{2} + 4} - \dfrac {5}{x^{2} + 9}\)